The moving party upon a motion shall have the right, at that party's option, to both open and close argument, and the plaintiff shall have the option to have the right to open and close argument upon the trial; except that a party admitting the adverse party's claim in his pleading, and taking upon him the burden of proof, shall have the same privilege. The party having the right to open shall be required to open in full, and in reply may respond in full but may not introduce any new matter.